PLS HELP!!!
Fine the measure of the angle indicated in bold. Then find the measure of the other indicated angle.

Answer:

[tex]x=\frac{ln(12)}{3}[/tex]

Step-by-step explanation:

We can solve this equation by taking the natural log of both sides.

This gives us the equation: [tex]ln(e^{3x})=ln(12)[/tex]

And the definition of natural log is basically, "what do I have to raise e to, to get this result"

The result is just e^3x, so I have to raise e to what? Well that's just 3x, you could also use log properties to bring the exponent in front and realize ln(e) = 1

So this gives us: [tex]3x=ln(12)[/tex]

Now divide both sides by 3: [tex]x=\frac{ln(12)}{3}[/tex]

If the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

Given,

The population of Nebraska = 1.8×[tex]10^{6}[/tex]

The population of Rhode Island = 1.1×[tex]10^{6}[/tex]

1.1×[tex]10^{6}[/tex] <  1.8×[tex]10^{6}[/tex]

So, Rhode island has population less than Nebraska

Hence, if the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

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The equation that best represents a the given situation is: 3n + 3 = 303., as found by number system.

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given: Sum of three consecutive integers is 303.

n = smallest integer.

According to question, the other two integers are: n + 1, and n + 2.Since the sum of the three consecutive integers is 303, addition operation on the values of number system

n + n + 1 + n + 2 = 303

3n + 3 = 303.

Hence, The equation that best represents a the given situation is:

3n + 3 = 303., as found by number system.

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Answer:

15 games

Step-by-step explanation:

Since the team won 80% of the games and won 12, we can put these into an equation.

80% is also 0.8 so:

x * 0.8 = 12

To find x we can simply do 12 divided by 0.8 which equals =

15

Answer:

6

Step-by-step explanation:

The square's side will be √144 = 12

The largest circle will have diameter of 12 so it's radius will be 12/2 = 6

The equation that can be used to find x, which is the width of the walkway will be (16 + 2x)(12 + 2x) = 396.

It should be noted that an expression is used to show the relationship that's exists between the variables.

The equation that can be used to find x, which is the width of the walkway will be:

= (16 + x + x) (12 + x + x) = 396

= (16 + 2x)(12 + 2x) = 396

In conclusion, the correct option is C.

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Answer: 3/4

Step-by-step explanation:

See attached work. Remember when dividing fractions, you must multiply by the reciprocal of the second fraction.

The value of x is ±√(42 -  y² - z²).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

x² + y² + z²=k

As, it is given that k = 42.

So, x² + y² + z²=k

x² + y² + z²= 42

x² = 42 -  y² - z²

x=±√(42 -  y² - z²)

Hence, the value of x is ±√(42 -  y² - z²).

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Answer:

No

Step-by-step explanation:

To know if a number is completely divisible by 3, you can add up its digits. If its digits equal a number divisible by 3, then the number itself is divisible by 3.

9817

9 + 8 + 1 + 7

= 25

2 + 5

= 7

Since 25 isn't divisible by 3, 9817 isn't completely divisible by 3 either.

Have a lovely rest of your day! :)

Answer:

"Defined items" are defined in terms of "undefined terms".

Step-by-step explanation:

None.

Solution:

A. [tex](3-\sqrt{2}, 3+\sqrt{2})[/tex]

Hope this helps!

[tex]2A +B = -2 \cdot (2z +8 -2z-4) = -2 \cdot 4 = -8[/tex]

(a) The linear equation giving the median salary "y" in terms of the year "x" is y = 0.034x + 1.266.

(b) The median player salary in the year 2048 will be approximately $2.9.

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The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.

Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.

From the image above,it is clear that the rays BA and BD are antiparallel.

A ray is a segment of a line with a starting point and an infinite length in one direction.

Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.

Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).

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Answer:

7/10 %

Step-by-step explanation:

The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

We have to simplify the given equation 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] in order to find its equivalent

Which can be simplified using the basics of square and square roots

Square and square root gets cancelled for example [tex]\sqrt{x^{2} }[/tex] = x and powers get added when same bases are multiplied for example x² × x³ = [tex]x^{2+3}[/tex] =[tex]x^{5}[/tex]

Also √25 can be written as  5

At x = 0 the whole expression can be written as zero

4x² ×√[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex]

12x²×[tex]x^{2} \sqrt{5}[/tex] ×[tex]x^{4} \sqrt{5}[/tex]

12[tex]x^{8}[/tex] ×√25

60 [tex]x^{8}[/tex]

Hence, The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

The correct question is Select the correct answer.

Which expression is equivalent to 4x²√5x4 3√5x8, if x≠0?

OA. 12x¹0 √5

OB. 60x8

OC.35x18

O D. 7x¹⁰ √5

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3/7 of 6/1 means [tex]6(\frac{3}{7})=\frac{18}{7} =2\frac{4}{7}[/tex]

hope this helped

In the possible diagram of the house, the lines formed by intersecting planes are; [tex] \overline{AG}[/tex], [tex]\overline{ AB}[/tex], [tex]\overline{AH}[/tex], [tex]\overline{GF}[/tex], [tex]\overline{ BH}[/tex], [tex]\overline{HF}[/tex], [tex]\overline{BC}[/tex], [tex]\overline{ HD}[/tex], and [tex]\overline{FE} [/tex]

The diagram found in a similar question has points A, G, B, H, and F on the roof.

The points on the walls of the house are; B, H, F, C, D, and E

A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.

A plane can be identified by three non collinear points that lay on it.

A line is a figure that does not have a curvature, width or depth, and it is infinitely long.

The planes on the roof are; ABH and AGHF

The planes on the walls of the house are; BCDH, and HDCF

The lines that are formed by the intersecting planes are therefore;

On the roof;

Between the roof and the walls of the house;

Between the two sides of the walls;

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Answer: 22, 15.4, 26.857

Step-by-step explanation:

sin 55=0.819

22/0.819=26.857

sin 35=0.5736

26.857*0.5736=15.4

sin 90=1

26.857*1=26.857

22, 15.4, 26.857

The number of miles in a day at which the rental costs for Company A and Company B are the same is 200 miles per day

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

A mile is defined as 1760 yards, or around 1.6 kilometers, in length. They traversed the desert for 600 km by car. She's only a half-mile away. singular noun. A large distance is indicated by the word "miles," particularly in the phrase "miles distant."

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No, this is not an accurate predictor because angie is not representative of the population in the algebra test.

Here,

Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%.

We have to find is this an accurate predictor.

What is Accurate predictor?

Accurate predictor describes whether the predicted values match the actual values of the target field within the incertitude due to statistical fluctuations and noise in the input data values.

Here,

Angie is the student of an  advanced statistics course but she gives the algebra test and scored 80%.

We know that the advanced statistics is the higher level of math so it is not an accurate predictor.

Because, An accurate predictor should be applied when the person is 100% confirmed to the related thing. So in the given situation, the student is not 100% confirm.

Hence,  this is not an accurate predictor because Angie is not representative of the population in the algebra test.

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Answer:

15, 21, 27

Step-by-step explanation:

[tex]a_n}[/tex] = [tex]a_{1}[/tex] + (n-1)d  

[tex]a_{n}[/tex] is the number in the sequence we are looking for

[tex]a_{1}[/tex]  This is the first term in the sequence that we do not know and we are looking for

n stands for the number of the term and d is the common difference.  We will put in all that we know and solve for the first term.

609 = [tex]a_{1}[/tex] + (100-1)6  

609 =[tex]a_{1}[/tex] + (99)6

609 = [tex]a_{1}[/tex] + 594  Subtract 594 from both sides of the equation

15 = [tex]a_{1}[/tex]

Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.

======================================================

Work Shown:

[tex]a^2 + b^2 = c^2 \ \ \text{ ... pythagorean theorem}\\\\12^2 + 9^2 = c^2\\\\144 + 81 = c^2\\\\225 = c^2\\\\c^2 = 225\\\\c = \sqrt{225}\\\\c = 15\\\\[/tex]

Answer:

to figure out the total for each person what you need to do is divide 483.30 by 5

483.30 / 5= 96.66

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a - b = b = c = 2, what is the value of: (a − b)² + (b − c)²/(a - c)²​ ihx-ezjm-mww​

Answer:

x = 1 and y = 1

Step-by-step explanation:

The energy consumes by the residential sector in 2008 was 1200 trillion btu. This is a problem from percentage.

Here, the energy consumption in different sector in New York State (2008) is

Transportation sector 28%

Residential sector 30%

Commercial sector 32%

Industrial sector 10%

So, the total energy consumption is = 28% + 30% + 32% + 10% =100%.

Therefore, the power consume by Residential sector is 4000x30% = 1200 trillion btu.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number; it has no unit of measurement.

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Answer:

i think its answer is A or D

Answer:

y =2/3 =4/3x

Step-by-step explanation:

Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.

This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.

A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.

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